Search a number
-
+
5563511412480 = 28345729318527
BaseRepresentation
bin101000011110101101100…
…0111110001011100000000
3201200212101200020212210000
41100331123013301130000
51212123032410144410
615455501501440000
71112643666510420
oct120753307613400
921625350225700
105563511412480
1118555211741aa
1275a2b4870000
133148382a3288
141533bd94c480
1599abdebadc0
hex50f5b1f1700

5563511412480 has 1440 divisors, whose sum is σ = 24297742909440. Its totient is φ = 1188063313920.

The previous prime is 5563511412461. The next prime is 5563511412497. The reversal of 5563511412480 is 842141153655.

5563511412480 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 511 + 4 + 124 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 652453977 + ... + 652462503.

It is an arithmetic number, because the mean of its divisors is an integer number (16873432576).

Almost surely, 25563511412480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5563511412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148871454720).

5563511412480 is an abundant number, since it is smaller than the sum of its proper divisors (18734231496960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5563511412480 is a wasteful number, since it uses less digits than its factorization.

5563511412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8627 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5563511412480 in words is "five trillion, five hundred sixty-three billion, five hundred eleven million, four hundred twelve thousand, four hundred eighty".